Home / 2,137.68-3,204.80-904.32

Finding the Fourth Proportional to 2,137.68, 3,204.80 and 904.32

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Solution

The fourth proportional to 2,137.68, 3,204.80 and 904.32 is: 1,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.68 : 3,204.80 = 904.32 : x
  2. Step 2: Convert to fraction form
    2,137.68/3,204.80 = 904.32/x
  3. Step 3: Cross multiply
    2,137.68x = 3,204.80 × 904.32
  4. Step 4: Simplify right side
    2,137.68x = 2,898,164.74
  5. Step 5: Solve for x
    x = 2,898,164.74/2,137.68
  6. Step 6: Final answer
    x = 1,355.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.